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Finding the Fourth Proportional to 1,100.76, 1,651.14 and 451.56

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Solution

The fourth proportional to 1,100.76, 1,651.14 and 451.56 is: 677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.76 : 1,651.14 = 451.56 : x
  2. Step 2: Convert to fraction form
    1,100.76/1,651.14 = 451.56/x
  3. Step 3: Cross multiply
    1,100.76x = 1,651.14 × 451.56
  4. Step 4: Simplify right side
    1,100.76x = 745,588.78
  5. Step 5: Solve for x
    x = 745,588.78/1,100.76
  6. Step 6: Final answer
    x = 677.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.